What is the kinetic energy of a 5 kg cart moving at 2 m/s?

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Prepare for the Year 10 Force and Motion Test. Utilize flashcards and multiple-choice questions with clear hints and explanations to ensure success. Equip yourself for excellence on your exam!

Multiple Choice

What is the kinetic energy of a 5 kg cart moving at 2 m/s?

Explanation:
Kinetic energy depends on how much stuff is moving and how fast it’s moving, specifically KE = 1/2 m v^2. With a mass of 5 kg moving at 2 m/s, the energy is 1/2 × 5 × (2)^2 = 0.5 × 5 × 4 = 10 joules. So the cart has 10 J of kinetic energy. Because the speed is squared, changing the speed has a big effect on energy: doubling the speed would quadruple the energy. If you tried other energy values, they would require different speeds (for example, 5 J would correspond to about 1.41 m/s, 20 J to about 2.83 m/s, and 8 J to about 1.79 m/s), which don’t match the given speed.

Kinetic energy depends on how much stuff is moving and how fast it’s moving, specifically KE = 1/2 m v^2. With a mass of 5 kg moving at 2 m/s, the energy is 1/2 × 5 × (2)^2 = 0.5 × 5 × 4 = 10 joules. So the cart has 10 J of kinetic energy. Because the speed is squared, changing the speed has a big effect on energy: doubling the speed would quadruple the energy. If you tried other energy values, they would require different speeds (for example, 5 J would correspond to about 1.41 m/s, 20 J to about 2.83 m/s, and 8 J to about 1.79 m/s), which don’t match the given speed.

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